a cylindrical can has a diameter of 20 cm and a height of 30 cm. how many litres does it hold (1l = cm)
To calculate the volume of a cylinder, you can use the formula V = πr^2h, where r is the radius of the cylinder and h is the height.
Given that the diameter of the cylinder is 20 cm, the radius (r) would be half of the diameter, so r = 20/2 = 10 cm.
Plugging in the values of r = 10 cm and h = 30 cm into the formula, we get:
V = π(10)^2(30)
V = π(100)(30)
V = 3000π cm^3
Now, to convert the volume from cubic centimeters (cm^3) to liters (L), we divide by 1000 (since 1 liter is equal to 1000 cubic centimeters):
V = 3000π / 1000
V = 3π L
V ≈ 9.42 L
Therefore, the can holds approximately 9.42 liters.